Acta Mechanica Solida Sinica

, Volume 25, Issue 1, pp 90–99 | Cite as

Elastodynamic Analysis of a Functionally Graded Half-Plane with Multiple Sub-Surface Cracks

  • Rasul Bagheri
  • Mojtaba Ayatollahi
  • Alibakhsh Kasaeian
Article

Abstract

The stress fields are obtained for a functionally graded half-plane containing a Volterra screw dislocation. The elastic shear modulus of the medium is considered to vary exponentially. The dislocation solution is utilized to formulate integral equations for the half-plane weakened by multiple smooth cracks under anti-plane deformation. The integral equations are of Cauchy singular type at the location of dislocation which are solved numerically. Several examples are solved and the stress intensity factors are obtained.

Key words

functionally graded materials half-plane multiple cracks screw dislocation 

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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2012

Authors and Affiliations

  • Rasul Bagheri
    • 1
  • Mojtaba Ayatollahi
    • 1
  • Alibakhsh Kasaeian
    • 2
  1. 1.Faculty of EngineeringZanjan UniversityZanjanIran
  2. 2.Faculty of New Sciences and TechnologiesUniversity of TehranTehranIran

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